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Results (12 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
367.1.b.a	$367$	$1$	367.b	367.b	$2$	$1$	$1$	$0.183$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-367}) \)	None	✓	✓			367.1.b.a	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{2}-q^{7}+q^{8}+q^{9}+2q^{13}+q^{14}+\cdots\)
367.1.b.b	$367$	$1$	367.b	367.b	$2$	$3$	$3$	$0.183$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-367}) \)	None	✓	✓	✓		367.1.b.b	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
2569.1.n.a	$2569$	$1$	2569.n	2569.n	$6$	$18$	$9$	$1.282$	\(\Q(\zeta_{54})\)	$D_{27}$	\(\Q(\sqrt{-367}) \)	None		✓	✓	✓	2569.1.n.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{54}^{5}-\zeta_{54}^{13})q^{2}+(\zeta_{54}^{10}+\zeta_{54}^{18}+\cdots)q^{4}+\cdots\)
2936.1.h.a	$2936$	$1$	2936.h	2936.h	$2$	$1$	$1$	$1.465$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-367}) \), \(\Q(\sqrt{-734}) \)	\(\Q(\sqrt{2}) \)	✓	✓			2936.1.h.a	$4$	$0$	\(1\)	\(0\)	\(0\)	\(2\)	$1$		\(q+q^{2}+q^{4}+2q^{7}+q^{8}-q^{9}+2q^{14}+\cdots\)
2936.1.h.c	$2936$	$1$	2936.h	2936.h	$2$	$2$	$2$	$1.465$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-367}) \)	None		✓			2936.1.h.c	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{7}+q^{8}-q^{9}+\cdots\)
2936.1.h.g	$2936$	$1$	2936.h	2936.h	$2$	$6$	$6$	$1.465$	\(\Q(\zeta_{18})\)	$D_{18}$	\(\Q(\sqrt{-367}) \)	None		✓			2936.1.h.g	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{18}^{5}q^{2}-\zeta_{18}q^{4}+(\zeta_{18}^{2}-\zeta_{18}^{7}+\cdots)q^{7}+\cdots\)
3303.1.d.a	$3303$	$1$	3303.d	367.b	$2$	$1$	$1$	$1.648$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-367}) \)	\(\Q(\sqrt{1101}) \)	✓	✓			3303.1.d.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{4}-2q^{7}-2q^{13}+q^{16}+q^{25}+\cdots\)
3303.1.d.b	$3303$	$1$	3303.d	367.b	$2$	$1$	$1$	$1.648$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-367}) \)	None	✓				367.1.b.a	$2$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}-q^{7}-q^{8}+2q^{13}-q^{14}-q^{16}+\cdots\)
3303.1.d.d	$3303$	$1$	3303.d	367.b	$2$	$2$	$2$	$1.648$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-367}) \)	None	✓	✓			3303.1.d.d	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\beta q^{2}+2q^{4}+q^{7}-\beta q^{8}-2q^{13}+\cdots\)
3303.1.d.e	$3303$	$1$	3303.d	367.b	$2$	$3$	$3$	$1.648$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-367}) \)	None	✓				367.1.b.b	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
3303.1.d.f	$3303$	$1$	3303.d	367.b	$2$	$6$	$6$	$1.648$	\(\Q(\zeta_{36})^+\)	$D_{18}$	\(\Q(\sqrt{-367}) \)	None	✓	✓	✓		3303.1.d.f	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
367.3.b.a	$367$	$3$	367.b	367.b	$2$	$9$	$9$	$10.000$	9.9.\(\cdots\).1	$_{}$	\(\Q(\sqrt{-367}) \)	None	✓	✓			367.3.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$3^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(4+\beta _{4}+\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{7}+\cdots\)